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66040224 = 253719689
BaseRepresentation
bin1111101111101…
…1000110100000
311121021012011020
43323323012200
5113401241344
610315245440
71431222045
oct373730640
9147235136
1066040224
1134306aa8
121a149880
13108b3373
148ab11cc
155be7719
hex3efb1a0

66040224 has 48 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 21701120.

The previous prime is 66040213. The next prime is 66040229. The reversal of 66040224 is 42204066.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×660402242 = 8722622371940352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 66040194 and 66040203.

It is not an unprimeable number, because it can be changed into a prime (66040229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1972 + ... + 11660.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 266040224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

66040224 is an abundant number, since it is smaller than the sum of its proper divisors (109775136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66040224 is a wasteful number, since it uses less digits than its factorization.

66040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9773 (or 9765 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66040224 is about 8126.5136436236. The cubic root of 66040224 is about 404.2060837928.

The spelling of 66040224 in words is "sixty-six million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 9689 19378 29067 38756 58134 77512 116268 155024 232536 310048 465072 687919 930144 1375838 2063757 2751676 4127514 5503352 8255028 11006704 16510056 22013408 33020112 66040224